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Geometry Of Black Holes
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Book Synopsis Geometry of Black Holes by : Piotr T. Chruściel
Download or read book Geometry of Black Holes written by Piotr T. Chruściel and published by Oxford University Press, USA. This book was released on 2020-07-28 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black holes present one of the most fascinating predictions of Einstein's general relativity, with strong evidence of their existence through observations of many means. The book provides a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.
Book Synopsis The Geometry of Kerr Black Holes by : Barrett O'Neill
Download or read book The Geometry of Kerr Black Holes written by Barrett O'Neill and published by Courier Corporation. This book was released on 2014-01-15 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students of mathematics as well as for physicists, this unique monograph and self-contained treatment constitutes an introduction to modern techniques in differential geometry. 1995 edition.
Download or read book Black Holes written by Derek J. Raine and published by Imperial College Press. This book was released on 2010 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the fascinating subject of black holes fills a significant gap in the literature which exists between popular, non-mathematical expositions and advanced textbooks at the research level. It is designed for advanced undergraduates and first year postgraduates as a useful stepping-stone to the advanced literature. The book provides an accessible introduction to the exact solutions of Einstein's vacuum field equations describing spherical and axisymmetric (rotating) black holes. The geometry and physical properties of these spacetimes are explored through the motion of particles and light. The use of different coordinate systems, maximal extensions and Penrose diagrams is explained. The association of the surface area of a black hole with its entropy is discussed and it is shown that with the introduction of quantum mechanics black holes cease to be black and can radiate. This result allows black holes to satisfy the laws of thermodynamics and thus be consistent with the rest of physics. In this new edition the problems in each chapter have been revised and solutions are provided. The text has been expanded to include new material on wormholes and clarify various other issues.
Book Synopsis Introduction to Black Hole Physics by : Valeri P. Frolov
Download or read book Introduction to Black Hole Physics written by Valeri P. Frolov and published by OUP Oxford. This book was released on 2011-09-23 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about black holes, one of the most intriguing objects of modern theoretical physics and astrophysics. For many years, black holes have been considered as interesting solutions of the Theory of General Relativity with a number of amusing mathematical properties. Now after the discovery of astrophysical black holes, the Einstein gravity has become an important tool for their study. This self-contained textbook combines physical, mathematical, and astrophysical aspects of black hole theory. Pedagogically presented, it contains 'standard' material on black holes as well as relatively new subjects such as the role of hidden symmetries in black hole physics, and black holes in spacetimes with large extra dimensions. The book will appeal to students and young scientists interested in the theory of black holes.
Book Synopsis Exploring Black Holes by : Edwin F. Taylor
Download or read book Exploring Black Holes written by Edwin F. Taylor and published by Addison-Wesley Professional. This book was released on 2000 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The metric helps to answer every scientific question about (nonquantum) features of spacetime surrounding a black hole, every possible question about trajectories of light and satellites around the black hole as well as around more familiar centers of attraction such as Earth and Sun. The metric for a rotating black hole may tell us about quasars, the most powerful steady energy sources in the Universe. The black-hole metric brings preliminary insights about the history and structure of the Cosmos." "Using the metric requires only algebra, elementary differential calculus, and a handful of integrals. This modest mathematics opens the subject to the interested person and paves the way to a deeper study of general relativity for one who will discover new truth about this strange and beautiful Universe, our home."--BOOK JACKET.
Book Synopsis Black Holes, Cosmology And Extra Dimensions (Second Edition) by : Kirill A Bronnikov
Download or read book Black Holes, Cosmology And Extra Dimensions (Second Edition) written by Kirill A Bronnikov and published by World Scientific. This book was released on 2021-06-29 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming basic knowledge of special and general relativity, this book guides the reader to problems under consideration in modern research, concerning black holes, wormholes, cosmology, and extra dimensions. Its first part is devoted to local strong field configurations (black holes and wormholes) in general relativity and its most relevant extensions: scalar-tensor, f(R), and multidimensional theories. The second part discusses cosmology, including inflation and problems of a unified description of the whole evolution of the universe. The third part concerns multidimensional theories of gravity and contains a number of original results obtained by the authors. Expository work is conducted for a mechanism of symmetries and fundamental constants formation. The original approach to nonlinear multidimensional gravity that is able to construct a unique perspective describing different phenomena is highlighted.Much of the content was previously presented only in journal publications and is new for book contents, e.g., on regular black holes, various scalar field solutions, wormholes and their stability, inflation, clusters of primordial black holes, and multidimensional gravity. The last two topics are added in this new edition of the book. The other chapters are also updated to include new discoveries like the detection of gravitational waves.
Book Synopsis The Mathematical Theory of Black Holes by : Subrahmanyan Chandrasekhar
Download or read book The Mathematical Theory of Black Holes written by Subrahmanyan Chandrasekhar and published by Oxford University Press. This book was released on 1998 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the reissued Oxford Classic Texts in the Physical Sciences series, this book was first published in 1983, and has swiftly become one of the great modern classics of relativity theory. It represents a personal testament to the work of the author, who spent several years writing and working-out the entire subject matter. The theory of black holes is the most simple and beautiful consequence of Einstein's relativity theory. At the time of writing there was no physical evidence for the existence of these objects, therefore all that Professor Chandrasekhar used for their construction were modern mathematical concepts of space and time. Since that time a growing body of evidence has pointed to the truth of Professor Chandrasekhar's findings, and the wisdom contained in this book has become fully evident.
Download or read book Black Holes written by Sean Alan Hayward and published by World Scientific. This book was released on 2013 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black holes, once just fascinating theoretical predictions of how gravity warps space-time according to Einstein's theory, are now generally accepted as astrophysical realities, formed by post-supernova collapse, or as supermassive black holes mysteriously found at the cores of most galaxies, powering active galactic nuclei, the most powerful objects in the universe. Theoretical understanding has progressed in recent decades with a wider realization that local concepts should characterize black holes, rather than the global concepts found in textbooks. In particular, notions such as trapping horizon allow physically meaningful quantities and equations, describing how a black hole evolves. This has led to discoveries in fields as diverse as classical and numerical general relativity, differential geometry, thermodynamics, quantum field theory, and quantum gravity. There is heretofore no one volume which covers all the main aspects, so this volume collects together summaries and recent research, each chapter written by an expert or experts in a given field. This is intended for readers at a graduate level upwards, who wish to learn about the wide range of research concerning black holes.
Book Synopsis Black Holes by : Jean-Pierre Luminet
Download or read book Black Holes written by Jean-Pierre Luminet and published by Cambridge University Press. This book was released on 1992-08-28 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black holes are undoubtedly one of the most fascinating discoveries of modern astronomy, and their description one of the most daring intellectual feats of modern times. They have already become legendary, forming the basis of many myths, fantasies and science fiction movies. Are they really the monsters which devour light and stars; bottomless celestial pits into which all matter is sucked and crushed? Are they an observable reality, or are they just hypothetical objects from the theory of relativity? In answering such questions the author takes us on a fabulous journey through space and time. Dr Jean-Pierre Luminet is an astronomer at Meudon Observatory in France, a specialist on the subject of black holes, and has also acquired a reputation for being a gifted writer and communicator. In this book he makes the subject of black holes accessible to any interested reader, who will need no mathematical background.
Book Synopsis Dynamics of Extremal Black Holes by : Stefanos Aretakis
Download or read book Dynamics of Extremal Black Holes written by Stefanos Aretakis and published by Springer. This book was released on 2018-11-02 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Brief presents in a self-contained, non-technical and illustrative fashion the state-of-the-art results and techniques for the dynamics of extremal black holes. Extremal black holes are, roughly speaking, either maximally rotating or maximally charged. Astronomical observations suggest that near-extremal (stellar or supermassive) black holes are ubiquitous in the universe. The book presents various recently discovered characteristic phenomena (such as the horizon instability) that have enhanced our understanding of the dynamics of extremal black holes. The topics should be of interest to pure mathematicians, theoretical physicists and astronomers. This book provides common ground for communication between these scientific communities.
Download or read book Black Holes written by Derek Raine and published by World Scientific Publishing Company. This book was released on 2014-09-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to the fascinating and topical subject of black holes. It bridges the gap between popular non-mathematical expositions and advanced research texts, using simple undergraduate level calculations and the most basic knowledge of relativity to explain current research. This means the theory can be understood by a wide audience of physicists, including those who are not necessarily interested in learning higher-level mathematical techniques. The third edition links more of the current research trends to fundamental aspects of the physics of black holes. Additionally: It provides an accessible introduction to the two most useful exact solutions of Einstein's vacuum field equations describing black holes, using only basic tensor calculusExplores the geometry and physical properties of these spacetimes through the motion of particles and lightExplains the use of different coordinate systems, maximal extensions and Penrose diagramsDiscusses the association of the surface area of a black hole with its entropy and shows that, with the introduction of quantum mechanics, black holes cease to be black and can radiate. This allows black holes to satisfy the laws of thermodynamics and thus be consistent with the rest of physicsIncludes over 100 problems and solutions This new edition introduces a chapter dedicated to a selection of recent results. Existing chapters have been updated and new explanatory material has been added to aid in the understanding of the physics. This book is recommended reading for advanced undergraduate students and first-year postgraduates who will find it a useful stepping-stone to the advanced literature.
Book Synopsis Black Hole Physics by : Daniel Grumiller
Download or read book Black Hole Physics written by Daniel Grumiller and published by Springer Nature. This book was released on 2022-11-07 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gradually introduces the reader to several topics related to black hole physics with a didactic approach. It starts with the most basic black hole solution, the Schwarzschild metric, and discusses the basic classical properties of black hole solutions as seen by different probes. Then it reviews various theorems about black hole properties as solutions to Einstein gravity coupled to matter fields, conserved charges associated with black holes, and laws of black hole thermodynamics. Next, it elucidates semiclassical and quantum aspects of black holes, which are relevant in ongoing and future research. The book is enriched with many exercises and solutions to assist in the learning. The textbook is designed for physics graduate students who want to start their research career in the field of black holes; postdocs who recently changed their research focus towards black holes and want to get up-to-date on recent and current research topics; advanced researchers intending to teach (or learn) basic and advanced aspects of black hole physics and the associated mathematical tools. Besides general relativity, the reader needs to be familiar with standard undergraduate physics, like thermodynamics, quantum mechanics, and statistical mechanics. Moreover, familiarity with basic quantum field theory in Minkowski space is assumed. The book covers the rest of the needed background material in the main text or the appendices.
Book Synopsis Foundations of General Relativity by : Klaas Landsman
Download or read book Foundations of General Relativity written by Klaas Landsman and published by Radboud University Press. This book was released on 2021-10-08 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
Download or read book Black Hole Physics written by V. Frolov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is not an exaggeration to say that one of the most exciting predictions of Einstein's theory of gravitation is that there may exist "black holes": putative objects whose gravitational fields are so strong that no physical bodies or signals can break free of their pull and escape. The proof that black holes do exist, and an analysis of their properties, would have a significance going far beyond astrophysics. Indeed, what is involved is not just the discovery of yet another even if extremely remarkable, astro physical object, but a test of the correctness of our understanding of the properties of space and time in extremely strong gravitational fields. Theoretical research into the properties of black holes, and into the possible corol laries of the hypothesis that they exist, has been carried out with special vigor since the beginning of the 1970's. In addition to those specific features of black holes that are important for the interpretation of their possible astrophysical manifestations, the theory has revealed a number of unexpected characteristics of physical interactions involving black holes. By the middle of the 1980's a fairly detailed understanding had been achieved of the properties of the black holes, their possible astrophysical manifestations, and the specifics of the various physical processes involved. Even though a completely reliable detection of a black hole had not yet been made at that time, several objects among those scrutinized by astrophysicists were considered as strong candidates to be confirmed as being black holes.
Book Synopsis Black Holes and Relativistic Stars by : Robert M. Wald
Download or read book Black Holes and Relativistic Stars written by Robert M. Wald and published by University of Chicago Press. This book was released on 1998 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive summary of progress made during the past decade on the theory of black holes and relativistic stars, this collection includes discussion of structure and oscillations of relativistic stars, the use of gravitational radiation detectors, observational evidence for black holes, cosmic censorship, numerical work related to black hole collisions, the internal structure of black holes, black hole thermodynamics, information loss and other issues related to the quantum properties of black holes, and recent developments in the theory of black holes in the context of string theory. Volume contributors: Valeria Ferrari, John L. Friedman, James B. Hartle, Stephen W. Hawking, Gary T. Horowitz, Werner Israel, Roger Penrose, Martin J. Rees, Rafael D. Sorkin, Saul A. Teukolsky, Kip S. Thorne, and Robert M. Wald.
Book Synopsis Artificial Black Holes by : M. Novello
Download or read book Artificial Black Holes written by M. Novello and published by World Scientific. This book was released on 2002 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Physicists are pondering the possibility of simulating black holes in the laboratory by means of various "analog models". These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein's gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters - written by experts in general relativity, particle physics, and condensed matter physics - that explore various aspects of this two-way traffic."--BOOK JACKET."Physicists are pondering the possibility of simulating black holes in the laboratory by means of various "analog models". These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein's gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters - written by experts in general relativity, particle physics, and condensed matter physics - that explore various aspects of this two-way traffic."--BOOK JACKET.
Download or read book Black Holes written by P. D. D'Eath and published by . This book was released on 1996 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black Holes are regions of space-time where the gravitational field is so strong that not even light can escape. There has been much written on black holes, however in most cases they are treated as isolated objects. In this important new book, the author has found a number of cases in which the interaction of a black hole with another strong-field system (such as the background universe or another black hole) could be treated analytically. This includes using the powerful method of matched asymptotic expansions, and these wider ranging problems and examples are considered here for the first time. In addition to a thorough treatment of the equations of motion for a pair of black holes, the book provides a useful treatment of the standard theory for these objects. It will be widely read by all those working in gravitation, along with post-graduate students in mathematical physics.
